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Zolol [24]
3 years ago
15

Samuel bought a jacket for $16 in January. The cost of the jacket increased to $24 in September. What percent of the original pr

ice is the new price? A. 110% B. 120% C. 150% D. 180%
Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer:

The answer is option C=150%

Step-by-step explanation:

Original cost of the jacket=$16 in January

Final cost of jacket=$24 in September

What percentage must of the original price is the new?

The new price=the original price×(A percentage)

Where the new price=$24, the original price=$16, and the percentage=(x/100)

24=16×x/100

x=(24×100)/16=150%

The answer is 150%

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Two visits are from the fire inspector and four visits are from the health inspector in 30 days both inspectors will visit on the same day
6 0
3 years ago
What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
Read 2 more answers
The Hawks are starting a babysitting business. They charge an initial deposit of $20
Ede4ka [16]

Answer:

3

Step-by-step explanation: So first you have to make this word problem into a equation into standard form so 20 is our (y) because that is the additional charge but our slope is 3 because that is what they charge per hr **when they say (per) usually the member with it is the slope** (sry I’m not the best explainer)

6 0
3 years ago
Please help me this is due today
Serjik [45]

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

   

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 <u>FIRST</u>

     

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

 

       

     

7 0
2 years ago
What is the vertex of the graph of the function f(x) = x2 − 4x?
Vsevolod [243]

Answer:

(2, -4).

Step-by-step explanation:

x^2 - 4x

= (x - 2)^2 - 4.

So the vertex is at

(2, -4).

6 0
3 years ago
Read 2 more answers
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